100318084300800 has 1152 divisors, whose sum is σ = 385888096357920. Its totient is φ = 24821052211200.

The previous prime is 100318084300793. The next prime is 100318084300867. The reversal of 100318084300800 is 8003480813001.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8898963964 + ... + 8898975236.

Almost surely, 2^{100318084300800} is an apocalyptic number.

100318084300800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100318084300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192944048178960).

100318084300800 is an abundant number, since it is smaller than the sum of its proper divisors (285570012057120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100318084300800 is a wasteful number, since it uses less digits than its factorization.

100318084300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 100318084300800 in words is "one hundred trillion, three hundred eighteen billion, eighty-four million, three hundred thousand, eight hundred".